Think that's she means it metaphorically or does she literally love the statue the same way that woman who married the Eiffel Tower loved an inanimate object?

I think she meant it metaphorically. Just like any number of people who make not dissimilar statements in the real world every day.

That isn't "Justice," it's a statue. Just like an American flag isn't "America," it's a piece of cloth. And so on.

The name of the American Flag is "Old Glory." I wouldn't judge somebody for falling in love with that inanimate object, either.

Although I *do* honestly hope that eventually there is a character named Justice (besides technically Xanthe) walking around so I can ship them together. Justice would have to be canonically blind though. That way, when they are on a date, Xanthe can describe a sunset to her or something as they hold hands....